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Finding the Third Proportional to 115,004 and 247,584

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Solution

The third proportional to 115,004 and 247,584 is: 533,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004 : 247,584 = 247,584 : x
  2. Step 2: Convert to fraction form
    115,004/247,584 = 247,584/x
  3. Step 3: Cross multiply
    115,004x = 247,584 × 247,584
  4. Step 4: Simplify right side
    115,004x = 61,297,837,056
  5. Step 5: Solve for x
    x = 61,297,837,056/115,004
  6. Step 6: Final answer
    x = 533,006.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.